As. Malishevskii et al., Cherenkov trapping of waves and discreteness of 6 pi-kink motion in a longJosephson junction, JETP LETTER, 69(4), 1999, pp. 348-352
The phenomenon of Cherenkov trapping of generalized Swihart waves by a movi
ng vortex is established using an analytically solvable model. The quantiza
tion of the structure of the field of the trapped waves is manifested as qu
antization of the values of the velocity of the vortices. (C) 1999 American
Institute of Physics. [S0021-3640(99)01204-9].